caa a22 4500 445360658 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11071-010-9812-5 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9812-5 Bifurcation dynamics of the modified physiological model ofartificial pancreas with insulin secretion delay [Elektronische Daten] [Lijun Pei, Qingyun Wang, Hongtao Shi] In this paper, we modify the original physiological model of artificial pancreas by introducing the insulin secretion time delay. The non-resonant double Hopf bifurcation is analyzed by the Center Manifold Theorem and Normal Form Method. Numerical results supporting the theoretical analysis are presented in some typical parameter regions. It is shown that the critical value of technological delay and the area of death island of the non-resonant double Hopf bifurcation in the modified model are far less than those in the original model. This implies that when the secretion delay appears, the smaller technological delay can induce the double Hopf bifurcation. In addition, the region IV with complex coexisting bi-stability also decreases sharply. Furthermore, the rich dynamics such as various period, quasi-period and chaotic behaviors are found when some key parameters are changed. The obtained results can have important theoretical guidance for the diagnosis and treatment of diabetes patients. Springer Science+Business Media B.V., 2010 Modified physiological model nationallicence Delay nationallicence Non-resonant double Hopf bifurcation nationallicence Pei Lijun Department of Mathematics, Zhengzhou University, 450001, Zhengzhou, Henan, P.R. China aut Wang Qingyun Department of Dynamics and Control, Beihang University, 100191, Beijing, P.R. China aut Shi Hongtao Department of Mathematics, Zhengzhou University, 450001, Zhengzhou, Henan, P.R. China aut Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 417-427 0924-090X 63:3<417 2011 63 11071 https://doi.org/10.1007/s11071-010-9812-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9812-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pei Lijun Department of Mathematics, Zhengzhou University, 450001, Zhengzhou, Henan, P.R. China aut NATIONALLICENCE 700 1- Wang Qingyun Department of Dynamics and Control, Beihang University, 100191, Beijing, P.R. China aut NATIONALLICENCE 700 1- Shi Hongtao Department of Mathematics, Zhengzhou University, 450001, Zhengzhou, Henan, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 417-427 0924-090X 63:3<417 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer